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Cubic interactions of massless bosonic fields in three dimensions. II. Parity-odd and Chern-Simons vertices

2018
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Physical Review D
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This work completes the classification of the cubic vertices for arbitrary spin massless bosons in three dimensions started in a previous companion paper by constructing parity-odd vertices. Similarly to the parity-even case, there is a unique parity-odd vertex for any given triple $s_1\geq s_2\geq s_3\geq 2$ of massless bosons if the triangle inequalities are satisfied ($s_1<s_2+s_3$) and none otherwise. These vertices involve two (three) derivatives for odd (even) values of the sum

doi:10.1103/physrevd.97.106021
fatcat:bg6rfjhhazhfpmvblne5l6qfl4